An isoperimetric inequality for the first eigenfunction in the fixed membrane problem-Reference-Cited by-同舟云学术

An isoperimetric inequality for the first eigenfunction in the fixed membrane problem

Published:1972-01 Issue:1 Volume:23 Page:13-15
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik ZAMP
language:en
Short-container-title:Journal of Applied Mathematics and Physics (ZAMP)

Author:

Payne Lawrence E.,Rayner Margaret E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01593198.pdf

Reference5 articles.

1. P. Garabedian,Partial Differential Equations (John Wiley, New York 1964).

2. L.E. Payne,Isoperimetric Inequalities and their Applications, SIAM Review9, 453 (1967).

3. Ann. Math. Studies;G. Pólya,1951

4. R.P. Sperb,Obere und untere Schranken für den tiefsten Eigenwert bzw. das Energieintegral in Problemen, die einen Parameter α enthalten, Diss. ETH, Juris Druck+Verlag Zürich, 1971.

5. R.P. Sperb,Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran, to appear in Z. angew. Math. Phys.

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